102272505600 has 216 divisors, whose sum is σ = 337905511552. Its totient is φ = 27241574400.

The previous prime is 102272505583. The next prime is 102272505613. The reversal of 102272505600 is 6505272201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20407095 + ... + 20412105.

Almost surely, 2^102272505600 is an apocalyptic number.

102272505600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102272505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168952755776).

102272505600 is an abundant number, since it is smaller than the sum of its proper divisors (235633005952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102272505600 is a wasteful number, since it uses less digits than its factorization.

102272505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

Adding to 102272505600 its reverse (6505272201), we get a palindrome (108777777801).

The spelling of 102272505600 in words is "one hundred two billion, two hundred seventy-two million, five hundred five thousand, six hundred".